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Finding the Fourth Proportional to 65.59, 98.43 and 31.39

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Solution

The fourth proportional to 65.59, 98.43 and 31.39 is: 47.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.59 : 98.43 = 31.39 : x
  2. Step 2: Convert to fraction form
    65.59/98.43 = 31.39/x
  3. Step 3: Cross multiply
    65.59x = 98.43 × 31.39
  4. Step 4: Simplify right side
    65.59x = 3,089.72
  5. Step 5: Solve for x
    x = 3,089.72/65.59
  6. Step 6: Final answer
    x = 47.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.